Sam decided to lose weight and went on a diet. The figure below depicts a graph, showing how his weight changed during the year. Using this graph, answer the following questions:
What was Sam’s weight at the beginning of the year?

Answer:

27 =x

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

4x+7 = 5(x-4)

Distribute

4x+7 = 5x-20

Subtract 4x from each side

4x+7-4x = 5x-4x-20

7 = x-20

Add 20 to each side

7+20 = x-20+20

27 =x

Answer:

x = 27

Step-by-step explanation:

Since they are corresponding they have to be equal.

4x+7 = 5(x-4)

4x+7 = 5x-20 distribute the 5

7 = 5x-4x-20 bring the 4x over

7 = x-20 simplify the x

7+20= x bring the twenty over

27=x

The length of the diagonal of the square rounded to the nearest foot is 141.2 feet.

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If the side has a length then the diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

Given, A square garden has sides 100 ft long.
Now, If we draw a diagonal it becomes a right-angled triangle with a height of 100 ft and a base of 100 feet.

Therefore, By applying Pythagoras' theorem we have,

The length of the diagonal is = √(100² + 100²).

= √(10000 + 10000).

= √(20000) feet.

= 141.42 Or 141 feet.

learn more about squares here :

https://brainly.com/question/28776767

#SPJ2

Answer:

The answer is

Step-by-step explanation:

To convert a value from degrees to radians multiply the value by [tex] \frac{\pi}{180} [/tex]

From the question the value given is

240°

Converting it into radians we have

Simplify

We have the final answer as

Hope this helps you

Answer:

18 bags

Step-by-step explanation:

the ratio of the chips to the candy is  :36/54 =4/6=2/3

it means for 2 bags of chips , you will put 3 candy bars

you will need 18 bags with no food left

Answer:

$15 per hour

Step-by-step explanation:

what’s the ratio of $30 in 2 hours.

= $30 / 2 hours

= $15 per hour

Answer:

A

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

$268

Step-by-step explanation:

First known equation is:

2L + 2W = 46

Second equation is:

L = W +7

Put the variable L of the second equation in the first equation.

2(W+7) + 2W = 46

2W +14 +2W = 46

4W = 32

W=8

Then resolve L using any of the above initial equations

L = 8 + 7 = 15

Verify: 2L +2W = 46

2(15) + 2(8) = 30 + 16 = 46 = perimeter

Step-by-step explanation:

Let the length = 7x

Let the breadth = x

As we know that

perimeter of rectangle =2(l+b)

Also perimeter here = 78 inches

Acc. to question

2(l+b) = 78 inches

[tex]2(7x + x) = 78[/tex]

[tex]16x = 78[/tex]

[tex]x = \frac{78}{16} [/tex]

[tex]x = 4.8[/tex]

so bredth = 4.8 approx

length = 7*4.5 =31.5 approx

Hope it helps u

Answer: [tex]Domain = \{t: t\geq 0\}=[0,\infty)[/tex] and [tex]Range = \{v: v\geq 550\}=[550,\infty)[/tex].

Step-by-step explanation:

It is given that, the value of this account, v, is given by the function

[tex]v=550+16.5t[/tex]

where, t is the number of years the money is in the bank.

We need to find the domain & range of this function.

Domain is the set of input values. Here, the domain is number of years which cannot be negative. So,

[tex]Domain = \{t: t\geq 0\}=[0,\infty)[/tex]

Range is the set of output values. Here, the range is amount after simple interest which cannot be less than the principal value.

[tex]Range = \{v: v\geq 550\}=[550,\infty)[/tex]

Answer:

5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2/3x=4

then 4/ 2/3 (you can just input this in a calculator)

it equals 6!

Answer:

x=6

Step-by-step explanation:

2/3x + 3 = 7

subtract 3 from both sides to get

2/3x = 4

divide 2/3x by 2/3 to isolate the variable

2/3x ÷ 2/3 = 4

what you do to one side you do to the other, so divide 4 by 2/3 as well, then you get

2/3x ÷ 2/3 is x

4 ÷ 2/3 is 12/2 which is equal to 6.

x=6

Answer:

40

Step-by-step explanation:

8*4=32+8=40

Answer:

I'm kind of confused what the question is asking. If they are asking for an expression to represent JL then the answer is 14x -32. If they want to know the distance between J and L then the answer is 66

Step-by-step explanation:

First I set the 2 equations equal to each other (5x-2 = 9x -30) and solved this to get x =7. (ANSWER ONE)

Next I plugged 7 into one of the equations (in this case either one will work bc JK and KL are the same distance. so I plugged 7 into the first one ( 5(7) -2 ) and I got 33. This means the distance of JK (and KL since they are equal) is 33.

Next I multiplied 33 by 2 since JL is JK and KL combined ( JK and KL are both 33 and therefore adding them together (multiplying 33×2) will give you the length of JL) and I got 66 (ANSWER 2)

Sorry if this is super confusing

Answer: b =27

Step-by-step explanation:

24 = b -3   Just add 3 to both sides

+3         +3

b = 27

Answer:

b=27

Step-by-step explanation:

Let's solve your equation step-by-step.

24=b−3

Step 1: Flip the equation.

b−3=24

Step 2: Add 3 to both sides.

b−3+3=24+3

b=27

Answer:

b=27

Answer: The average speed is 3m/s.

Step-by-step explanation:

We can define the average speed as the quotient between the total distance traveled in a given period of time, and that period of time,

Here we have that:

d = distance

t = time.

"A lioness hunting antelope runs a distance of 60 m in 15 s"

1) d = 60m, t = 15s

"Then she stops to survey the herd for 20 s"

We add 0 meters to the distance, and 20 seconds to the time.

2) d = 60m + 0m, t = 15s + 20s = 35s

"she trots for 25 s over 60 m around the edge of the herd."

we add 60m to the distance, and 25s to the time

3) d = 60m + 60m = 120m, t = 35s + 25s = 60s.

"Finally, the lioness races after the antelope, traveling 120 m in 20 s"

we add 120m to the distance and 20s to the time.

4) d = 120m + 120m = 240m, t = 60s + 20s = 80s.

Then the average speed of the lioness in that period of time is:

S = 240m/80s = 3m/s

Answer:

S= 1.3r

Step-by-step explanation:

The 3 is underlined because it was suppose to go on top of the 3 but it didn't give me the option but that means infinity of 3

If you need more information you cant tell me hope this helped!

Answer:

The atomic number is the number of protons (12) and the mass number is the number of neutrons and protons combined. So you'd subtract 12 from 25 (25-12=) and that'd get you 13 as your answer. If you need to find the number of electrons, it'll be the same as the number of protons unless it has a certain charge and if it does, if it's positive it has more protons (+) than electrons (-), if it is negative it has more electrons (- negatively charged) than protons (+ positively charged)

(credits to halltho)

Answer:

Step-by-step explanation:

Answer:

jim has money

Step-by-step explanation:

because he does

Answer:

vce4sw3?

Step-by-step explanation:

Answer:

2 5/8

Step-by-step explanation:

:)

Answer:

B=2

Step-by-step explanation:

[tex](\frac{8+x_1}{2} )(\frac{0+y_1}{2})[/tex]

[tex](\frac{8+x_1}{2} )=2[/tex]  multiply 2 by 2=4 then write [tex]8+x_1=4[/tex] subtract  8 from both sides 4-8= -4

[tex](\frac{0+y_1}{2} )=1[/tex] multiply 2 by 1=2 then write [tex]0+y_1=2[/tex] subtract 0 from both sides

2-0=2

To check [tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\[/tex]

[tex]MP= (\frac{-4+8}{2} )(\frac{2+0}{2} )[/tex] -4+8=4 2+0=2

[tex]MP= (\frac{4}{2} )(\frac{2}{2} )[/tex] 4/2=2 and 2/2=1 MP=(2,1)

Answer:

The answer is $10.32aprox

Step-by-step explanation:

I hope it will help u

Please mark me as brainlist

Answer:

She had 7 pizzas.

Step-by-step explanation:

.....

Answer:

Morgan, Dakota and Taylor showed their work solving the equation 7x + 5x +1= 73. Identify the student with the invalid first step and justify your reasoning. Morgan 7x + 5x + 1 = 73 12x + 1 = 73 Dakota 7x + 5x + 1 = 73 7x + 6x = 73 Taylor 7x + 5x + 1 = 73 7x + 5x = 72​

Step-by-step explanation:

Answer:

total bill=1644

let he drives x kilometer

then

500*2+8*x=1644

1000+8x=1644

8x= 1644-1000

8x= 644

x= 644/8=80.5 km

Step-by-step explanation: